Search results for "VDP::Matematikk og naturvitenskap: 400::Matematikk: 410"
showing 10 items of 136 documents
On Science Museums, Science Capital, and the Public Understanding of Mathematical Modelling
2020
Students’ opportunities to learn informally (e.g. by watching documentaries, visiting museums) explain socio-economic inequities in school performances. To explore informal learning about mathematical modelling, I studied two science museums, as these are environments typically visited by middle-class families. I framed the study by using the notions science capital and the public understanding of mathematical modelling (PUMM) and explored how these are mediated in science museums. The research method entailed observations of displays, artefacts, and visitors. One science museum completely detached mathematics from its use value, whereas the other offered histories of how people used mathem…
State-feedback sampled-data control design for nonlinear systems via passive theory
2013
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/230413 Open Access This paper investigates the problem of passive controller design for a class of nonlinear systems under variable sampling. The Takagi-Sugeno (T-S) fuzzy modeling method is utilized to represent the nonlinear systems. Attention is focused on the design of passive controller for the T-S fuzzy systems via sampled-data control approach. Under the concept of very-strict passivity, a novel time-dependent Lyapunov functional is constructed to develop passive analysis criteria and passive controller synthesis conditions. A new …
On the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations
2020
Abstract By using comparison principles, we analyze the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equations. Due to less restrictive assumptions on the coefficients of the equation and on the deviating argument τ , our criteria improve a number of related results reported in the literature.
A commentary on the Special Issue “Innovations in measuring and fostering mathematical modelling competencies”
2021
This is a commentary on the ESM 2021 Special Issue on Innovations in Measuring and Fostering Mathematical Modelling Competencies. We have grouped the ten studies into three themes: competencies, fostering, and measuring. The first theme and the papers therein provide a platform to discuss the cognitivist backgrounds to the different conceptualizations of mathematical modelling competencies, based on the modelling cycle. We suggest theoretical widening through a competence continuum and enriching of the modelling cycle with overarching, analytic dimensions for creativity, tool use, metacognition, and so forth. The second theme and the papers therein showcase innovative ideas on fostering an…
Frequency-based ensemble forecasting model for time series forecasting
2022
AbstractThe M4 forecasting competition challenged the participants to forecast 100,000 time series with different frequencies: hourly, daily, weekly, monthly, quarterly, and yearly. These series come mainly from the economic, finance, demographics, and industrial areas. This paper describes the model used in the competition, which is a combination of statistical methods, namely auto-regressive integrated moving-average, exponential smoothing (ETS), bagged ETS, temporal hierarchical forecasting method, Box-Cox transformation, ARMA errors, Trend and Seasonal components (BATS), and Trigonometric seasonality BATS (TBATS). Forty-nine submissions were evaluated by the organizers and compared with…
Perspectives and reflections on teaching linear algebra
2020
Abstract This paper presents ‘expert opinions’ on what should be taught in a first-year linear algebra course at university; the aim is to gain a generic picture and general guiding principles for such a course. Drawing on a Delphi method, 14 university professors—called ‘experts’ in this study—addressed the following questions: What should be on a first-year linear algebra undergraduate course for engineering and/or mathematics students? How could such courses be taught? What tools (if any) are essential to these two groups of students? The results of the investigation, these experts’ opinions, mainly concern what should be in a linear algebra course (e.g. problem-solving and applications)…
Design and Investigation of a Touch Gesture for Dividing in a Virtual Manipulative Model for Equation-solving
2020
AbstractPhysical models for equation solving typically lack feedback regarding their appropriate use. Such feedback is possible in virtual environments and could be implemented in hybrid models. Based on an epistemological analysis, this article presents a touch gesture as a way for users to signal they want to divide both sides of an equation and a design for feedback on the use of this so-called ‘division gesture’. The design is investigated by contrasting a case study, in which students used an app with the division gesture, with a preparatory study where students had to perform corresponding actions on physical manipulatives. This investigation revealed insight into feedback functions, …
Dynamics of undergraduate engineering students’ learning activities in mathematics in an online and in a blended environment
2020
Paper IV is not published yet. This thesis reports from a research study which investigates the role of technology rich environments in undergraduate engineering students’ processes of learning mathematics. The research is founded within a naturalistic research paradigm (Lincoln, 2007) and adopts a case study design (Yin, 2014). The two cases under consideration comprise a small group of undergraduate electronics engineering students, selected as participants, from an online and a blended learning environment (Borba et al., 2016). The first case study of online environment incorporates an online system, MyMathLab, for homework and assessment, and tutorial videos for the lectures in a calcul…
Opportunities and Challenges when Students Work with Vocationally Connected Mathematics Tasks
2021
Students in vocational education in Norway take a compulsory mathematics course in the first year of their programme. This course offers opportunities for engaging with mathematics which can be highly relevant to practice in many workplaces. Working with vocationally connected mathematics tasks, tasks designed to draw on students’ future working contexts, is one way of trying to connect to students’ possible future vocations. This study aims to understand how students interact with such tasks with a particular emphasis on the roles of norms, authenticity and students’ positioning between the practices of school, the workplace and everyday life. In this study, I observed students working wit…
Omvendt undervisning i matematikk : en studie av elevers oppfatning av undervisningsmetoden
2013
Masteroppgave i matematikkdidaktikk- Universitetet i Agder 2013 Many teachers want to try out different teaching methods to find the one that makes students learn best. In today's society we surround ourselves with technology most of the day and there are several teaching methods that make use of technological tools in different ways. The “flipped classroom” is one of these and this is a method that has become more and more popular around the world and now also in Norway. In short, this is a method where students get theoretical review outside the classroom by using instructional videos, while solving problems and other learning activities are carried out at school with the teacher present.…